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Finding the Fourth Proportional to 498,441.60, 747,176.40 and 284,990.40

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Solution

The fourth proportional to 498,441.60, 747,176.40 and 284,990.40 is: 427,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,441.60 : 747,176.40 = 284,990.40 : x
  2. Step 2: Convert to fraction form
    498,441.60/747,176.40 = 284,990.40/x
  3. Step 3: Cross multiply
    498,441.60x = 747,176.40 × 284,990.40
  4. Step 4: Simplify right side
    498,441.60x = 212,938,101,106.56
  5. Step 5: Solve for x
    x = 212,938,101,106.56/498,441.60
  6. Step 6: Final answer
    x = 427,207.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.